Asymmetrical Bending (16 points)
A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,600 N-m acting at an inclination of 36.13° (CW) relative to the +z axis.
Homework Answers
A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,500 N-m acting at an inclination of -53.13° (CCW) relative to the +z axis.
A steel beam of rectangular cross section is 50mm wide and 80mm high. Please give the...
A steel beam of rectangular cross section is 50mm wide and
80mm high. Please give the answer of these two questions.
ECH0013 Mechanics of Solids & Structures Exercise Sheet 5: PLASTIC COLLAPSE A steel beam of rectangular cross section is 50 mm wide and 80 mm high. The yield stress is ơr MPa. Find the percentage of the cross-sectional area is occupied by the elastic core, if the beam is subjected to a bending moment of 13 kNm acting about...
A rectangular cross section at a location along a beam in bending is
(a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...
A beam of rectangular cross section is 125 mm wide and 200 mm deep. If the...
A beam of rectangular cross section is 125 mm wide and 200 mm deep. If the maximum bending moment is 28.5 kN.m, determine (a) the maximum tensile and compressive bending stress, and (b) the bending stress 25 mm from the top of the section.
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam...
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig-...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
60 mm A 2 m long cantilever beam with an asymmetric cross-section is subjected to a...
60 mm A 2 m long cantilever beam with an asymmetric cross-section is subjected to a tip load of 3 kN, as shown. The y- and z-axes pass through the centroid of the cross-section. (a) Show that moments of inertia for the cross-section are 1.33x106 mm4, Iy - 0.917x106 mm4 and Iy-0.03x106 mm4, (b) Find the inclination of the neutral axis and (c) Find the magnitude and location of maximum tensile and compressive stresses in the C.S 10 0° -28...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
A beam whose cross-section is shown in the figure is subjected to a bending moment M...
A beam whose cross-section is shown in the figure is subjected to a bending moment M inclined at 0 = 70° from the z axis. a) Locate the orientation of the neutral axis B and draw this axis on the figure b) Calculate the maximum flexural tensile stress Omax,T and the maximum flexural compressive stress Omax.c in the beam and indicate at which points in the section these occur. M= 2 Nm D e Z 20 mm A B 60...
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,500 N-m acting at an inclination of -53.13° (CCW) relative to the +z axis.
A steel beam of rectangular cross section is 50mm wide and
80mm high. Please give the answer of these two questions.
ECH0013 Mechanics of Solids & Structures Exercise Sheet 5: PLASTIC COLLAPSE A steel beam of rectangular cross section is 50 mm wide and 80 mm high. The yield stress is ơr MPa. Find the percentage of the cross-sectional area is occupied by the elastic core, if the beam is subjected to a bending moment of 13 kNm acting about...
A beam of rectangular cross section is 125 mm wide and 200 mm deep. If the maximum bending moment is 28.5 kN.m, determine (a) the maximum tensile and compressive bending stress, and (b) the bending stress 25 mm from the top of the section.
A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads as shown in FIGURE 2 (on page 4). 2. SAN 1OAN R, FR 100mm FIG.2 (a) Calculate the maximum bending moment (b) Calculate the maximum stress in the beam (c) At the point of maximum stress sketch a graph of the stress distribution through the thickness of the beam, indicating which are...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
60 mm A 2 m long cantilever beam with an asymmetric cross-section is subjected to a tip load of 3 kN, as shown. The y- and z-axes pass through the centroid of the cross-section. (a) Show that moments of inertia for the cross-section are 1.33x106 mm4, Iy - 0.917x106 mm4 and Iy-0.03x106 mm4, (b) Find the inclination of the neutral axis and (c) Find the magnitude and location of maximum tensile and compressive stresses in the C.S 10 0° -28...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
A beam whose cross-section is shown in the figure is subjected to a bending moment M inclined at 0 = 70° from the z axis. a) Locate the orientation of the neutral axis B and draw this axis on the figure b) Calculate the maximum flexural tensile stress Omax,T and the maximum flexural compressive stress Omax.c in the beam and indicate at which points in the section these occur. M= 2 Nm D e Z 20 mm A B 60...
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